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Questions tagged [functions]

Questions about the use of built-in Mathematica functions, including pure functions.

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LOG transformation

I have data (x,y) with some error bars, and I want to replace each value of y with log(y+1). I tried with Mathematica but it didn't work. What is the problem with my codes how can I calculate the ...
Yusra Zabarmawi's user avatar
3 votes
3 answers
136 views

Approximation of the Fabius function $f(x) = \text{FabiusF}[x+1]\cdot \text{HeavisideTheta}[1-x^2]$ - FabiusF[x] don't works in Wolfram-Alpha

Approximation of the Fabius function $f(x) = \text{FabiusF}[x+1]\cdot \text{HeavisideTheta}[1-x^2]$ - FabiusF[x] don't works in Wolfram-Alpha I am looking to figure out how well the displaced version ...
Joako's user avatar
  • 133
5 votes
1 answer
101 views

Adding Edge and Vertices to already made graph?

I have a notebook that generates a hexagonal grid graph and its vertex connectivity, coordinates, and numbers as an input for an FEA program in matlab. I simply want to add members to this shape (or ...
c.moon's user avatar
  • 51
2 votes
1 answer
95 views

Is there a function which tests whether a Boolean expression is an inequality?

For something I am doing in Mathematica, it would be very helpful to have a function f[] which, when applied to an atomic Boolean expression, returns True if the Boolean expression is an inequality, ...
A.S.'s user avatar
  • 23
4 votes
1 answer
108 views

Why `AsymptoticSolve` doesn't work for a multivariate implicit function?

I started by defining ...
Nekomiya Kasane's user avatar
1 vote
3 answers
154 views

How to write a function in the following form f[a_, b_, c_,...] so that it is flexible with respect to the number of arguments?

@lericr have written under several of my questions that the way I try to modernize the code could be made much simpler. Below is the original part of the code. The remaining parts have similar designs,...
Mam Mam's user avatar
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2 votes
1 answer
81 views

How to correctly reassign variables {c11 -> p11, c12 -> p12} using a Table or some other similar structure?

Why is the value of the function Pxx[1,2] is a number but the function Pxxx[1,2] is an expression? Isn't this construction ...
Mam Mam's user avatar
  • 1,345
0 votes
1 answer
47 views

Plugging in a value after taking partial derivative [closed]

I am trying to write a code where I have a function of two variables, take the partial derivative with respect to each variable and finally plugs in specific values for the variables. To be more ...
dorrel's user avatar
  • 3
2 votes
2 answers
70 views

How to use sequence of variables (Sequence) correctly?

Why does the function EER[1,2] have a different value than the function EERR[1,2]? Isn't the entry ...
Mam Mam's user avatar
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1 vote
2 answers
64 views

Why does Mathematica not see some of the function PxB1[a10_, b10_, qa0_, qb0_, c11_, c12_] variables?

Why does Mathematica not see the c11 and c12 variables in the function PxB1[a10_, b10_, qa0_, qb0_, c11_, c12_]? How to fix it? ...
Mam Mam's user avatar
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2 votes
2 answers
72 views

The correct notation of a function that contains an expression with NIntegrate

I tried to set the function Px[a1_, b1_, qa_, qb_]. Why does Px[1.22, 0.44, 1.40, 1.81] not give out a specific number? ...
Mam Mam's user avatar
  • 1,345
0 votes
1 answer
32 views

Is it possible to ask Mathematica to order this expression in terms of descending absolute values of the arguments of the exponential functions?

I have the given expression which is a sum of exponential functions with some parameters $a,t,u,y$ where $a>0$. Question Is it possible to ask Mathematica to order this expression in terms of ...
Martha97's user avatar
  • 327
3 votes
1 answer
49 views

How can one collect the terms of same power of a variable in a big expression?

In the expression A[x] below, I find it hard with Collect[] to get the terms of the same power of ...
Zilch's user avatar
  • 85
1 vote
1 answer
35 views

Ratio of two functions leads to different limit than expected

Here, numerator seems to go like x^8 and denominator as ...
Zilch's user avatar
  • 85
0 votes
1 answer
42 views

String in a Box representation makes a subtle error

...
imida k's user avatar
  • 3,809
3 votes
6 answers
334 views

Better way to specifying arguments for multivariable function

If I'm working with many dimensions the amount of variables I have to use may get out of hand. I wonder if there's a quicker way to write something like below for example: ...
Lenny White's user avatar
0 votes
1 answer
39 views

ContourPlot not working [closed]

Im trying to use ContourPlot to plot this function, but it's just giving me a blank graph. What's wrong? My input: ...
Kei Len's user avatar
  • 27
1 vote
2 answers
58 views

Integrate function [closed]

I want to find the constant in front of the term of the integral that only contains $x$ in the following function: $$f(x) = \frac{(56-15 \sin x + \sin^2 x)^2}{6-5 \sin x + \sin^2 x}$$ This is my input ...
Kei Len's user avatar
  • 27
1 vote
1 answer
35 views

Expressing and plotting functions: exploring relationships with x1, x2, and x3 [closed]

Let's consider three functions: x1 = e^t + 2t^2 - 3; x2 = t^3 - 2t + 5; x3 = 2^t / (3t + 8) How can we express or plot x1 in ...
internet's user avatar
  • 217
3 votes
2 answers
147 views
+100

Optimizing execution time and exploring closed form solutions in Mathematica's DSolve

I am encountering two issues while running the following code in Mathematica: Slow execution: I have been running the code for approximately 30 minutes, but it is still executing. I am using Windows ...
internet's user avatar
  • 217
3 votes
2 answers
106 views

Convert comparision function into range

I have function: f[x_]:=0<=x<=Pi How do I convert this into range {x,0,Pi} to use for example with plotting: ...
Lenny White's user avatar
3 votes
2 answers
79 views

How to check the simultaneous positivity of two multivariable functions in Mathematica? [closed]

Given two functions of several real variables, say f[x1_, x2_, x3_, x4_] := x1 + 3 x2^2 - 5 x3 - 7 x4; and ...
Zilch's user avatar
  • 85
0 votes
2 answers
111 views

How to correctly specify variables in a function? [duplicate]

There is an expression ...
Mam Mam's user avatar
  • 1,345
0 votes
1 answer
53 views

Solving the inequality equation in Mathematica

I am trying to solve the following inequality equation in Mathematica: 12 Sin[300 t] >= 8 I want to find the values of t ...
internet's user avatar
  • 217
1 vote
1 answer
38 views

How can I discretize four long and complex functions with Mathematica?

I am looking for a procedure with Mathematica where one can discretize a function in a specific interval to a set of multidimensional vectors. In this way, we can possibly ease the calculation time ...
Vangsnes's user avatar
  • 561
0 votes
0 answers
36 views

Printing the value of a function crashes Mathematica

I define SolVm1: ...
NC520's user avatar
  • 387
0 votes
3 answers
112 views

Incorrect number # of eigenvectors for eigenvalue

I have the following code: ...
kowalski's user avatar
  • 373
0 votes
0 answers
18 views

Specifying and assigning arguments of a function to be real

I have the following complex matrix that I wish to integrate (element-by-element) ...
kowalski's user avatar
  • 373
0 votes
1 answer
73 views

Simplifying expression and arranging terms in power of exponent

I have lots of expressions like below which I want to simplify but I am not sure how to do it in Mathematica. I am looking to simplify them in the form of $\Sigma _i A_i e^{y_i}$ where $A_i$ will be ...
Navneet M's user avatar
1 vote
2 answers
117 views

How can I interpolate a piecewise constant function?

Let the given set of points ...
Vangsnes's user avatar
  • 561
5 votes
1 answer
134 views

Does Mathematica have a LogSumExp function that's numerically stable?

I searched "Mathematica LogSumExp", and literally nothing is coming up. It's a relatively important function in machine learning and for numerically stable computation. Will I just have to ...
chausies's user avatar
  • 191
4 votes
1 answer
135 views

ConjugateTranspose[#] vs Conjugate[Transpose[#]] for lists [duplicate]

Bug introduced in 12.3 or earlier, fixed in 13.0. I'm getting contradictory behavior for eigenvectors of a matrix when using Conjugate, Transpose and ConjugateTranspose. I'll demonstrate using an ...
Nitin's user avatar
  • 431
0 votes
0 answers
26 views

How can I disable the mouseover behavior of AnimatedImage objects?

The otherwise very convenient function AnimatedImage displays a "pause" icon when you mouse over its output. Is there an option or trick to disable this? I see that in the documentation it ...
Glenn Welch's user avatar
1 vote
0 answers
37 views

Evaluate coefficients of delta functions in a given expression

Suppose that I have a function of the form: myfn[x_] = smoothfn[x] + A[x] DiracDelta[x-x0] + B[x] DiracDelta'[x-x0], where ...
Patrick.B's user avatar
  • 1,349
1 vote
1 answer
77 views

Why is this function not compilable?

Consider some functions ...
John Taylor's user avatar
  • 4,800
3 votes
1 answer
61 views

Functions from the output of Solve

The output of the equation Solve[f[x] - x^2 == 0, f[x]] is: {{f[x] -> x^2}} I would like the output to be ...
MaxB's user avatar
  • 311
0 votes
1 answer
55 views

How to properly expand a list with certain numerical elements?

There is a list with 19 elements ...
Mam Mam's user avatar
  • 1,345
0 votes
1 answer
79 views

How to expand the existing basis set so that it becomes more complete?

I have a set of anisotropic gaussian basis set which describes the ground state of the system with great accuracy. The Hamiltonian of the system has the following form: $$H=-\frac{1}{2}\Delta-\frac{1}{...
Mam Mam's user avatar
  • 1,345
0 votes
1 answer
52 views

How to combine multiple plots via Table when a map is being applied? [closed]

This question is based on this answer ...
codebpr's user avatar
  • 715
3 votes
3 answers
134 views

Slope-demarcated PlotStyle implementation (II)

...
user84456's user avatar
  • 1,230
2 votes
3 answers
218 views

Slope-demarcated PlotStyle implementation

In the above graph, I would like to display plots with slope-dependent plot styles (solid, dashed and dotted). Specifically, the regions a---b1, a---b2 and a---b3 with solid lines(...
user84456's user avatar
  • 1,230
2 votes
1 answer
80 views

Why does Series give two different results for given function?

I want to do Series of this function x^12 Cos[y x]^2 Sin[y x]^6 Sin[(-1 + Sqrt[3]) y x]^2 around ...
Martha97's user avatar
  • 327
0 votes
0 answers
26 views

DensityPlot with 4 region. Help please!

How to write a function in Wolfram Mathematica that returns the values 0,1,2,3 in random order and draw a diagram for it as shown in the picture using the DensityPlot function. Help please!!
Iра Сотник's user avatar
0 votes
1 answer
55 views

How do I expand an exponential function? [closed]

First of all, apologies for the formatting, I can't seem to enter it as code here? My question is as follows: I have \Theta defined as follows: ...
Q.Ask's user avatar
  • 15
2 votes
1 answer
64 views

How to directly define a function as the solution of RSolve

This is probably very simple, but I just cannot find this anywhere online. I have the code ...
Matthew Neil's user avatar
2 votes
1 answer
116 views

How to define function that returns another function?

I'm new to Mathematica and I have an issue: I'm trying to define a function that accepts as parameter another function with parameter X and then returns a function also with parameter X. Input: ...
aku jack's user avatar
0 votes
1 answer
113 views

Can Mathematica estimate this complex function?

Mathematica has given me a function in $x,r$ given by ...
Matthew Neil's user avatar
3 votes
2 answers
132 views

Recursive function with subscript

I am trying to define a recursive function with a subscript. Something similar would be $f_{n+1}(x) = \int 3 x f_{n}(x)dx$. I've tried lists, For function, ...
Vicente Sepúlveda Trivelli's user avatar
11 votes
2 answers
1k views

What is a function?

Regarding: Map[#[{2, b}] &, {Reverse}] The above works, but it makes my head spin. The documentation for Map says that the ...
Chris 's user avatar
  • 447
1 vote
1 answer
49 views

Function definition inside Module with local symbol

Usually if I want to define a function using an expression I do: expr=x^2; f[x_]=expr; which usually works and give f a defination. But now if I want to do the ...
Cheng Tao's user avatar
  • 151

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